To examine quantitative characteristics of hydraulic jump formation on a horizontal floor of a rectangular channel.

Lab No. 12

Object: To examine quantitative characteristics of hydraulic jump formation on a horizontal floor of a rectangular channel.

Apparatus Required:

  • Perspex–sided S4 tilting flume, with slope control device; stopwatch.
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Perspex-sided S4 tilting flume

Theory:

The rise in water level, which occurs during the transformation of shooting flow to tranquil flow, is called hydraulic jump or standing wave. Where hydraulic jump takes place, a substantial part of the energy of the flowing liquid is dissipated.

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The initial depth y and the sequent depth y of the jump are interconnected as under:-

y2  1

y12

1  8F 2

 1

(5.1)

where F1 is initial Fronde number, defined as

1

F1 1

gy1

v

(5.2)

The specific energy loss (ΔE E1-E2) is connected with y1 and y2 as under:-

( yy )3

ΔE =

21

4 y1 y2

(5.3)

Procedure:


Observations:

L = width of the channel = 7.9 cm

Q =

/ t

q

v1y

1

v2

q

y2

E1

2

y v1

12g

E2

yy 3

21

S. No

t

q 

Q 7.9

y1

y2

y2

y1

F1

v1 gy1

1  8F2 1

1

y2 

v2

2

2g

ΔE= E1-E2

y1 y2

cc

s

cm3/s

cm2/s

cm

cm

cm/s

cm/s

cm

cm

cm

cm


Graphs:


  1. Plot

y2

y1

against1


  1. Plot ΔE against (y2 – y1)3 / y1 y2

1  8F2

1

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